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Eringen A.C. — Mechanics of continua
Eringen A.C. — Mechanics of continua

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Название: Mechanics of continua

Автор: Eringen A.C.

Аннотация:

The second edition of the author's classic book, MECHANICS OF CONTINUA, incorporates corrections to the text, contains some new, useful materials on the nonlinear theory, additional references and a new chapter (Chapter 10) on electrodynamics of deformable and fluent bodies. Nonlinear and linear theories of anisotropic electromagnetic elastic solids, and viscous fluids are developed rigorously and illustrated by several solutions. Much of the material is new in content and composition and appears for the first time in one place. The book can be used as a graduate text or for self-study. The method of development of cohesive mathematical theories of continua and summaries of basic equations of diverse fields of continuum physics with illustrative solutions make this book a major reference ideal for scientific, technical and educational libraries as well as a valuable addition to the library of any scientist.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 1980

Количество страниц: 596

Добавлена в каталог: 13.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$2^n$-pole moment      428
$\epsilon$-symbol      552
Absolute invariant      531
Absolute invariant, scalar      544
Absolute invariant, tensors      13
Absolute invariant, vector      13
Absolute temperature      129
Acceleration      71
Acoustic approximation      280
Acoustical tensor      488 491
Acoustics      279
Adiabatic changes      139
Adiabatic changes, material constants      471
Adiabatic changes, process      135
Affine transformation      53
Affinities      137
Alven number      514
Alven number, velocity      517
Alven number, waves      516
Ampere’s Law      434 437
Angle change      24
Angular velocity      85
Anisotropic      454
Anisotropic, elastic solids      466
Anisotropic, solid      156 315 462
Antiferromagnetic      455
Antiferromagnetic, crystals      465
Arc length      74 210
Area, measure of      50
Associated tensors      547
Attenuation, coefficient      396
Attenuation, coefficient, factor      415
Axes, principal      31 32 34 35 58 85
Axial vector      29 531
Axiom, material invariance      156 164 455
Axiom, of admissibility      162 168 450
Axiom, of admissibility, of causality      151 449
Axiom, of admissibility, of constitutive theory      151
Axiom, of admissibility, of continuity      7 8
Axiom, of admissibility, of determinism      153 449
Axiom, of admissibility, of entropy      139
Axiom, of equipresence      155
Axiom, of fading memory      161
Axiom, of memory      159
Axiom, of neighborhood      157
Axiom, of objectivity      163 450
Axiom, of smooth memory      167
Axiom, of smooth neighborhood      165
Axiom, of time reversal      451
Balance laws      446 480 511
Balance of moment of momentum      447
Balance of momenta      107 447
Balance of momenta, principle of      90
Balance, equations of      208
Barotropic gas      279
Base vector      9 542
Base vector, reciprocal      543
Bernoulli’s equation      265
Bessel functions      285
Betti and Rayleigh, reciprocal theorem of      245
Bianchi’s identities      558
Biaxial stress (plane stress)      112
Bivector      89
Boltzmann — Volterra theory      359
Bound charge      426
boundary conditions      209 438
Branch points      332
bulk modulus      201
Cauchy deformation tensors      41 56
Cauchy stress      497
Cauchy’s first law      108 110 144
Cauchy’s first law, first theorem      31
Cauchy’s first law, second law      108
Cauchy’s first law, second theorem      33 40
Causality      151
Cavity      318
Cavity, cylindrical      219
Cavity, spherical      221 228 231 320 330
Cayley — Hamilton theorem      251 537
Center of inversion      465
Changes, area and volume      49
Changes, area and volume, length and angle      20
Characteristic, determinant      36
Characteristic, determinant, equation      37 536 537
Characteristic, determinant, matrix      537
Charge bound      426
Charge bound, effective      433
Charge bound, effective surface      438
Charge bound, electric      425
Charge bound, electronic      425
Charge bound, free      426
Charge bound, negative      426
Charge bound, positive      426
Charge bound, volume and surface      434
Chemical, energy      91 121
Chemical, energy, potentials      132
Christoffel symbols      210
Christoffel symbols, first kind      550
Christoffel symbols, second kind      550
Clausius — Duhem inequality      120 133 136 139 451
Compatibility conditions      62
Complex moduli      376
Components, physical      211 547
Compressible fluids      258
Compression, modulus of      201
Conducting cylinder      498
Conducting material      449
Conduction current      428 429 440
Conjugate, diameters      31
Conjugate, diameters, planes      31
Conservation of charge      431
Conservation of charge, of electric charge      434 437
Conservation of energy, global      123 447
Conservation of energy, local      123
Conservation of energy, principle of      90 121
Conservation of magnetic flux      434 437
Conservation of mass, local      89 90 446
Conservation of mass, local, principle of      89
Constitutive equations      148 149 307 449 450 477 481 512
Constitutive equations, anisotropic solids      496
Constitutive equations, compressible solids      208
Constitutive equations, electromagentic fluids      505
Constitutive equations, electromagnetic elastic solids      453
Constitutive equations, functional      355
Constitutive equations, incompressible solids      208
Constitutive equations, isotropic solids, quadratic      459
Constitutive equations, linear      193 250 508 509
Constitutive equations, non-linear, isotropic electromagnetic solids      456
Constitutive theory      151
Constitutive theory, variables      152
Constitutively admissible      136
Contact loads      99
Contact loads, surface      290
Continuity, axiom of      7 8
Contraction      56 546
Contravariant, components      545
Contravariant, vectors      545
Convection current      427
Convective time, derivative      432
Convective time, rate      70
coordinates      6
Coordinates, curvilinear      210 260 540
Coordinates, cylindrical      212 540 554
Coordinates, eulerian      7
Coordinates, langrangian      7
Coordinates, material      7 113
Coordinates, orthogonal curvilinear      211 212 553
Coordinates, rectangular      541
Coordinates, spatial      7
Coordinates, spherical      214 555
Correspondence, theorem of      388
Cosine directors      28 35
Couette flow      256
Couple stress      103
Couple stress, vector      112
Couple, surface      100
Covariant, components      545
Covariant, partial derivative      550 551
Covariant, vectors      545
Creep, bulk compliance      372
Creep, bulk compliance, shear compliance      372
Creep, bulk compliance, test compliance      372
Crystal classes      344
Curie’s theorem      137
Curl      523 552
Current, conduction      428 429 440
Current, convection      427
Current, density      429
Current, effective      433
Current, effective surface      438
Current, electric      432
Current, total surface      436
Curvature tensor      558
Curvature tensor, Riemann — Christoffel      557
Curve, discontinuity      434
Curvilinear coordinates      210 260 541
Curvilinear coordinates, orthogonal      211 212 553
Curvilinear, parallelepiped      17
Curvilinear, surfaces      541
Cylindrical, coordinates      212 541 554
Cylindrical, coordinates, tube      217 393
Debye cutoff frequency      328
Deformation      7 11 19 27
Deformation gradients      10 46
Deformation rate      75 87
Deformation tensors      10 45
Deformation, isochoric      53
Deformation, potential      52
Deformation, rigid      23 52
Deformation-rate tensor      84 86 93
Derivative, material      68 69
Determinant, characteristic      36
Determinism, axiom of      153
Dielectric constant, effective      493
Dielectric constant, relative      475
Dielectric susceptibility      464
Dielectric tensor      493
Dielectrics      479
Difference histories      356
Diffraction      284
Dilatational viscosities      252
Dilation      52
Dilation, uniform      52 53 54 56
Dirac delta function      393
Direction, principal      35 38 39 40 58 112
Direction, proper      37
Discontinuity, curve      434
Discontinuity, line      81 82
Discontinuity, surface      80 81 82 110 127 290 434 435
dispersion      400 504
Dispersive      326
Displacement, gradients      45
Displacement, rigid-body      34
Displacement, vector      15 29
Dissipation inequality      141
Dissipation, viscous      185
Dissipative energy      180 343
Dissipative energy, power      125
Dissipative energy, stress      344
Divergence      523 552
Doublet      426
Ductile      204
Duhamei’s theorem      316 321
Dynamic tests      376
Effective, charge      433
Effective, current      433
Effective, dielectric constant      493
Effective, Lorentz force      442
Effective, polarization      427
Effective, surface charge      438
Effective, surface current      438
Eigenfunctions      492
Eigenvalues      492
Elastic coefficients, restrictions on      200
Elastic constants, experimental determination of      203
Elastic dielectrics      480
Elastic limit      204
Elastic materials      168 450
Elastic materials, isotropic      174
Elastic moduli      464
Elastic solids, incompressible      175
Elastic sphere      222
Elastic-plastic materials      205
Elasticity, resume of basic equations of      208
Elasto-electric coefficients      472 475
Elastomers      373
Electric, charge      425
Electric, current      432
Electric, displacement      431
Electric, field      430 439 449
Electric, moment      426
Electric, potential      486
Electric, quadrupoles      448
Electrical energy      91
Electrohydrodynamics      448
Electromagnetic energy      443 444 445
Electromagnetic energy, fields      441 478
Electromagnetic energy, fluids      505
Electromagnetic energy, force      439 441 445
Electromagnetic energy, momentum      441 442
Electromagnetic energy, stress tensor      442
Electromagnetic, balance law      433
Electromagnetic, couple      439 441 445
Electromagnetic, elastic solids      476
Electromechanical coupling factor      492
Electromotive intensity      432
Electronic charge      425
Electrostatic, forces      99
Electrostatic, forces, potential      517
Electrostrictive, effect      485
Electrostrictive, stresses      460
Elongation      24 25
Energy      87
Energy flow      129
Energy, chemical      91 121
Energy, conservation of      91
Energy, dissipative      180 343
Energy, electrical      91
Energy, electromagnetic      121
Energy, free      171 186 193
Energy, global conservation of      123
Energy, heat      91 121
Energy, internal      90 91
Energy, kinetic      87
Energy, local conservation of      123
Energy, mechanical      123
Energy, potential      123 124
Energy, strain      123 124
Energy, surface      121
Energy, total strain      125
Enthalpy, specific      291
Entropy density      130
Entropy density, inequality      448 458 505
Entropy density, influx      134
Entropy density, production      134 141
Entropy density, source      134
Entropy, axiom of      139
Entropy, principle of      133
Entropy, total      129
Equation of continuity      263
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